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Taya2010 [7]
3 years ago
11

The cylinder shown has a volume of π in3. Find the volume of a cone with the same base and height as the cylinder

Mathematics
1 answer:
Luden [163]3 years ago
7 0
The volume would be 1/3π in³.

The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.
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From 1995-2005, the hourly pay for lifeguards at an outdoor swimming pool increased by 2% per year. The hourly pay, P(t), in dol
12345 [234]

Answer:

The hourly pay for the lifeguards in 2001 was of $6.31.

Step-by-step explanation:

The hourly pay, in dollars, in t years after 1995, is given by the following equation:

P(t) = 5.60(1.02)^{t}

What was the hourly pay for the lifeguards in 2,001?

2001 is 2001 - 1995 = 6 years after 1995. So this is P(6).

P(t) = 5.60(1.02)^{t}

P(6) = 5.60(1.02)^{6} = 6.31

The hourly pay for the lifeguards in 2001 was of $6.31.

7 0
3 years ago
Lines BC and ED are parallel. They are intersected by transversal AE, in which point B lies between points A and E. Lines BC and
Radda [10]

Answer: A

Step-by-step explanation:

3 0
2 years ago
The inequality below represents h, the number of hours Ellie need to work this week to earn at least $360 by the end of the mont
Gnom [1K]

Answer:

The answer to your question is 10 hours.

Step-by-step explanation:

Inequality                            12h + 240 > 360

Solve the inequality as if it was an equation

                                           12h > 360 - 240

                                           12h > 120

                                           h > 120 / 12

                                           h = 10 hours

Let's evaluate some number of hours

If h = 3                        12(3) + 240 > 360

                                  36 + 240 > 360

                                          276 > 360     Incorrect, she needs to work more

                                                                 than 3 hours

If h = 5                         12(5) + 240 > 360

                                   60 + 240 > 360

                                           300 > 360     Incorrect, she needs to work more

                                                                 than 5 hours

If h = 7                          12(7) + 240 > 360  

                                    84 + 240 > 360

                                          324 > 360      Incorrect she needs to work more

                                                                 than 7 hours

If h = 11                          12(11) + 240 > 360  

                                     132 + 240 > 360

                                              372 > 360   Correct, she needs to work at least

                                                                   10 hours.                                              

7 0
3 years ago
In a study of government financial aid for college​ students, it becomes necessary to estimate the percentage of​ full-time coll
ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

​(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use \pi = 0.5, which is when we are going to need the largest sample size.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.04\sqrt{n} = 2.575*0.5

(\sqrt{n}) = \frac{2.575*0.5}{0.04}

(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}

n = 1036.03

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55​% of​ full-time students earn​ bachelor's degrees in four years or less.

\pi = 0.55

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}

0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}

(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}

(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}

n = 1025.7

Rounding up

n = 1026.

6 0
3 years ago
I need help please!!!
myrzilka [38]

the slope of the given point is m=−3/4

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1 year ago
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